The intellectual efforts need not to be invested not in proving/disproving this theory but on why the Anglo countries in the New World get to absorb all the migrants from the Old World (excluding Europe) when Central and South America should at least theoretically attract migrants when in practice that this in not the case, and to make matters worse they export migrants to other countries outside of that bloc because let's face it, the New World will always be fluid when it comes to the legitimate claim to the lands since all the nation-states in that part of the world are byproducts of the Age of Exploration.
These are the questions that should be investigated and researched and not some lunatic conspiracy theories that do more hard than good for the concerned people.